Herbert Neuberger proposes a new formula for the fermion determinant in lattice gauge theories with strictly massless quarks, represented as \(\det \frac{1+V}{2}\), where \(V = X(X^\dagger X)^{-1/2}\) and \(X\) is the Wilson-Dirac lattice operator with a negative mass term. This formula avoids the issues of undesired doubling and fine-tuning found in other methods like the overlap and domain walls. The key observation is derived from recent work on the overlap in odd dimensions, which simplifies the formula for Dirac fermions. The new formula maintains the exact zeros in instanton backgrounds and has potential applications in measuring \(f_\pi\) and studying QCD at finite chemical potential. It also avoids the problems associated with the absolute value of the chiral determinant in other proposals. Future work is needed to analyze perturbation theory, compare with numerical simulations, and develop efficient numerical techniques for four-dimensional simulations.Herbert Neuberger proposes a new formula for the fermion determinant in lattice gauge theories with strictly massless quarks, represented as \(\det \frac{1+V}{2}\), where \(V = X(X^\dagger X)^{-1/2}\) and \(X\) is the Wilson-Dirac lattice operator with a negative mass term. This formula avoids the issues of undesired doubling and fine-tuning found in other methods like the overlap and domain walls. The key observation is derived from recent work on the overlap in odd dimensions, which simplifies the formula for Dirac fermions. The new formula maintains the exact zeros in instanton backgrounds and has potential applications in measuring \(f_\pi\) and studying QCD at finite chemical potential. It also avoids the problems associated with the absolute value of the chiral determinant in other proposals. Future work is needed to analyze perturbation theory, compare with numerical simulations, and develop efficient numerical techniques for four-dimensional simulations.